Answer: 1.5010 as a fraction is 3.002/2
Converting the decimal number 1.5010 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.
The decimal 1.5010 can be broken down as:
1.5010 = 1 + 0.501
Here, 1 is the whole number part, and 0.501 is the decimal part.
Focus on converting the decimal part, 0.501, to a fraction. To do this, consider the place value of the decimal:
0.501 =
501
1000
Now, simplify the fraction 501/1000. To do this, find the greatest common divisor (GCD) of 501 and 1000.
Now, divide both the numerator and the denominator by their GCD:
501 ÷ 500
1000 ÷ 500
=
1.002
2
So, 0.501 as a fraction is 1.002/2
Now that you have 1.5010 = 1 + 0.501, express the entire number as a mixed fraction:
1.5010
= 1 +
1.002
2
=
2
2
+
1.002
2
=
3.002
2
Here, 2/2 is the whole number 1, and 1.002/2 is the fractional part.
Answer: 1.5010 = 3.002/2
Converting 1.5010 to a fraction results in 3.002/2. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.